Esh3D, an Analytical and Numerical Hybrid Code for Full Space and Half‐Space Eshelby's Inclusion Problems
Name
2018EA000442.pdf
Description
Published version
Size
2.61 MB
Format
Unknown
Checksum (MD5)
1df1cc6cf88224fa45bd6efa378ec5c9
Author(s)
Meng, C.
Date Issued
March 2019
Journal
Earth and Space Science
Publisher
American Geophysical Union (AGU)
Citation
Meng, C. 2019. "Esh3D, an Analytical and Numerical Hybrid Code for Full Space and Half‐Space Eshelby's Inclusion Problems." Earth and Space Science, 6 (3).
Version
Final published version
Abstract
©2019. The Authors. I present an open source code Esh3D that evaluates the quasi-static elastic displacement and stress fields perturbed by ellipsoidal inclusions, known as the Eshelby solution. The improvement over my previous work includes obtaining solutions in half-space by numerically canceling the traction to stage a free surface. The discrete numerical domain allows nonplanar surface. I first briefly introduce the ellipsoidal inclusion problem and solution evaluation. Then, I describe the traction cancellation method in forming the half-space solutions. Next, I emulate a planar fault with a low aspect ratio ellipsoid and compare the half-space solution against the well-known Okada solution for flat and topographic surfaces. Finally, I provide comparisons between the full space and half-space solutions to illustrate the free surface effects on the displacement and stress fields.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1029/2018ea000442
